Let A and B be sets

MATHEMATICS · Subjective · CBSE · Mathematics · Sets · Sets

Problem

Let A and B be sets. If

A \cap X = B \cap X = \phi

and

A \cup X = B \cup X

for some set X, show that

A = B

. (Hints

A = A \cap (A \cup X)

,

B = B \cap (B \cup X)

and use Distributive law)

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